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On some moments and distributions occurring in the theory of linear stochastic processes—II

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References

  1. H. Cramér, Mathematical Methods of Statistics, Princeton University Press, 1946.

  2. U. Grenander, “On empirical spectral analysis of stochastic processes”, Ark. Mat., Vol.1 (1951), pp. 503–531.

    Google Scholar 

  3. U. Grenander andM. Rosenblatt, “Statistical spectral analysis of time series arising from stationary stochastic processes”, Ann. Math. Stat., Vol.24. (1953), pp. 537–558.

    Google Scholar 

  4. Z. A. Lomnicki andS. K. Zaremba, “On estimating the spectral density function of a stochastic process”, J. Roy, Statist. Soc., Ser. B, Vol. 19 (1957), pp. 13–37.

    Google Scholar 

  5. M. S. Bartlett, “Smoothing periodograms from time series with continuous spectra”, Nature, Vol. 161 (1948), pp. 686–687.

    Google Scholar 

  6. M. S. Bartlett, “Periodogram analysis and continuous spectra”, Biometrika, Vol.37 (1950), pp. 1–16.

    Google Scholar 

  7. M. S. Bartlett, “Problèmes de l'analyse spectrale des séries temporelles stationnaires”, Publ. Inst. Statist. Univ. Paris, Vol.3 (1954), pp. 119–134.

    Google Scholar 

  8. J. L. Doob, “Time series and harmonic analysis”, Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, edited by J. Neyman, University of California Press, Berkeley and Los Angeles, 1949, pp. 303–343.

    Google Scholar 

  9. U. Grenander andM. Rosenblatt, Statistical analysis of stationary time series, John Wiley & Sons, New York, 1957.

    Google Scholar 

  10. E. Parzen, “On consistent estimates of the spectrum of a stationary time series”, Ann. Math. Stat., Vol. 28 (1957), pp. 329–348.

    Google Scholar 

  11. E. Parzen, “A central limit theorem for multilinear stochastic processes”, Ann. Math. Statist., Vol. 28 (1957), pp. 252–255.

    Google Scholar 

  12. J. W. Tukey, “The sampling theory of power spectrum estimates”, Symposium on Application of Autocorrelation Analysis to Physical Problems, Woods Hole, Mass., 13–14 July 1949, Office of Naval Research, Dept. of Navy, Washington D. C.

    Google Scholar 

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Lomnicki, Z.A., Zaremba, S.K. On some moments and distributions occurring in the theory of linear stochastic processes—II. Monatshefte für Mathematik 63, 128–168 (1959). https://doi.org/10.1007/BF01299095

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